PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 19 March 2018

Scalar and Vector Fields

Scalar and Vector Fields

B. K. Ridley

Publisher:

Oxford University Press

DOI:10.1093/acprof:oso/9780198788362.003.0007

Those quantum structures describable in terms of Cartesian coordinates (e.g. the quantum well) can be treated with the minimum of formality. Turning to quantum structures describable in terms of curvilinear coordinates, it is convenient to establish a more formal basis in order to describe the LO and TO modes in terms of scalar and vector potentials. This chapter covers: nanostructures described by curvilinear coordinates, the Helmholtz equation, scalar and vector potentials, and results for the cylinder and the sphere.

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 19 March 2018